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3 years ago

You did 110 joules of work lifting a 190 N backpack. How high did you lift the backpack?

Physics

1 answer:

Finger [1]3 years ago

7 0

The backpack has been lifted for 0.58 m

Explanation:

The work done in lifting an object is equal to the gain in gravitational potential energy of the object:

$W=mg\Delta h$

where

(mg) is the weight of the object, with

m being the mass

g being the acceleration due to gravity

$\Delta h$ is the change in height of the object

In this problem,

W = 110 J is the work done

mg = 190 N is the weight of the backpack

Solving for $\Delta h$ , we find the change in height of the backpack:

$\Delta h = \frac{W}{mg}=\frac{110}{190}=0.58 m$

Learn more about work:

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A 0.300 kg potato is tied to a string with length 2.30 m , and the other end of the string is tied to a rigid support. The potat

alexdok [17]

Answer:

The speed of the potato at the lowest point is 6.714 m/s

The tension in the string is 8.82 N

Explanation:

We will use law of conservation of energy to find out the velocity

When the potato is at 2.30 m height, it will have potential energy and when the potato released it will go lowest point and it's potential energy will be convert into kinetic energy.

Potential energy = Kinetic energy

m×g×h = (1/2) m×v²

m stands for mass

g stands for gravitational constant

h stands for height

v stands for velocity

m×g×h = (1/2) m×v²

0.3×9.8×2.3 = (1/2) .3×v²

v² = 45.08

v = 6.714 m/s

The speed of the potato at lowest point is 6.714 m/s

Part B

The potato is in uniform circular motion so the acceleration is given by

a = v² / r

a stands for centripetal acceleration

According to Newton second law the acceleration is directly proportional to applied force and inversely proportional to the mass of object

So ∑ F = m × a

Two forces act on potato 1. weight due to gravitation in downward direction 2. tension in upward direction So the above equation become

Tension force - Force due to weight = m×a

T-m×g = m×a

centripetal acceleration formula =v²/r , r = l = length of the string

T = m ×(v²/l) + m×g

v = 6.714 m/s , l = 2.30 m , m = .3 kg Now put values in above equation

T = .3 × (6.714²/2.30) + .3 × 9.8

T = .3 ( 45.08/2.30) + 2.94

T = .3 (19.6) +2.94

T = 5.88 + 2.94

T = 8.82 N

The tension in the string is 8.82 N

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An aeroplane accelerates uniformly from an initial velocity of 100 m.s-1 to a velocity of 200 m.s-1 in 10 seconds. It then accel

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How much will the top five winners of nasa’s design contest win?

sashaice [31]

Answer:

$\$100,000$

Explanation:

The top 5 winners of NASA's design contest winner received amount of $\$100,000$ (Dollar One hundred thousand). The respected amount was divided into 5 parts as there were 5 winners as well.

So, the amount was divided among the winners are as follows:

Winner 1 ⇒ $\$20,957.95$